Question: New York State Route 406 (NY 406) is a state highway in Schenectady County, New York, the western terminus of the route is at an intersection with U.S. Route 20 (US 20) in which town in Schenectady County, New York?

full_context: Document 1: Princetown, New York: Princetown is a town in Schenectady County, New York, United States. The population was 2,115 at the 2010 census. It is in the central part of the county, west of the town of Rotterdam.
Document 2: New York State Route 406: New York State Route 406 (NY 406) is a state highway in Schenectady County, New York, in the United States. The western terminus of the route is at an intersection with U.S. Route 20 (US 20) in the town of Princetown. Its eastern terminus is at a junction with NY 158 in the town of Rotterdam. NY 406 is a two-lane highway and known as Giffords Church Road along its entire length. It was assigned to its current alignment in the mid-1930s.
Document 3: Rensselaer County, New York: Rensselaer County is a county in the state of New York, in the United States of America. As of the 2010 census, the population was 159,429. Its county seat is Troy. The county is named in honor of the family of Kiliaen van Rensselaer, the original Dutch owner of the land in the area.
Document 4: New York State Route 426: New York State Route 426 (NY 426) is a state highway located entirely within Chautauqua County, New York, in the United States. It runs just over 13 mi from one section of the Pennsylvania state line to another, passing through two small hamlets and providing the Southern Tier Expressway (Interstate 86 or I-86 and NY 17) with its westernmost exit in New York. NY 426 is the westernmost north–south state highway in New York.
Document 5: Schenectady, New York: Schenectady ( ) is a city in Schenectady County, New York, United States, of which it is the county seat. As of the 2010 census, the city had a population of 66,135. The name "Schenectady" is derived from a Mohawk word "skahnéhtati" meaning "beyond the pines". The city was founded on the south side of the Mohawk River by Dutch colonists in the 17th century, many from the Albany area. They were prohibited from the fur trade by the Albany monopoly, which kept its control after the English takeover in 1664. Residents of the new village developed farms on strip plots along the river.
Document 6: New York State Route 146: New York State Route 146 (NY 146) is a state highway in the Capital District of New York in the United States. It extends for 43 mi from Gallupville at NY 443 to near Mechanicville at U.S. Route 4 (US 4) and NY 32. NY 146 is a major thoroughfare in the city of Schenectady, just outside Albany. Most of the route follows an east–west alignment; however, the middle third of the route between Guilderland and Clifton Park runs in a more north–south manner in order to serve Schenectady. At one time, NY 146 had three spur routes; only one—NY 146A—still exists.
Document 7: Ghent, New York: Ghent is a town in Columbia County, New York, United States, with a ZIP code of 12075. The population was 5,402 at the 2010 census. Ghent is centrally located in the county and is northeast of the city of Hudson.
Document 8: Casparus F. Pruyn House: Casparus F. Pruyn House is a historic home located in the hamlet of Newtonville within the town of Colonie in Albany County, New York. It is a two story, rectangular five bay wide, center entrance dwelling in a late Federal and early Greek Revival style. It was built between 1824 and 1836. Pruyn was rent collection agent for Stephen Van Rensselaer and, after Stephen's death, William Van Rensselaer who had inherited the "East Manor" in Rensselaer County. From 1839 to 1844 Pruyn resided at the Patroon Agent's House and Office at Rensselaer and was a central figure in the Anti-Rent War at Rensselaerswyck. Also on the property are a contributing carriage house, privy, and smoke house. It is open to the public as the historical and cultural arts center for the Town of Colonie. The Verdoy Schoolhouse was moved to the grounds in 1996.
Document 9: Princeton, West Virginia: Princeton, often referred to as the "Jewel of the South," is a city in and the county seat of Mercer County, West Virginia, United States. The population was 6,432 at the 2010 census. It is part of the Bluefield, WV-VA micropolitan area which has a population of 107,342. The town hosts the Princeton Rays baseball club of the Appalachian League.
Document 10: New York State Route 166: New York State Route 166 (NY 166) is a north–south state highway in Otsego County, New York, in the United States. It extends for 20.96 mi from NY 28 in the village of Milford to U.S. Route 20 (US 20) north of the village of Cherry Valley. Much of NY 166's southern portion is near Cooperstown, and various county routes serve as connectors between NY 166 and Cooperstown. In Cherry Valley, NY 166 intersects the former western terminus of the First Great Western Turnpike. After passing under US 20, the road continues as County Route 32 north to Sprout Brook in Montgomery County, where it meets NY 163. NY 166 is a two-lane highway its entire length.
Document 11: New York State Route 136: New York State Route 136 (NY 136) is a state highway within the town of North Greenbush in Rensselaer County, New York, in the United States. It begins at an intersection with U.S. Route 4 (US 4) just south of Troy and ends at a junction with NY 150 in the hamlet of Wynantskill. NY 136 provides access to Hudson Valley Community College, located in an otherwise residential area of suburban Troy. The route was assigned in the late 1930s as a connector between US 4 and Winter Street, then part of NY 40. NY 136 was extended to its current length in 1980.
Document 12: Schenectady City School District: The Schenectady City School District is a public city school district in the city of Schenectady in central Schenectady County, New York. The district has 20 operating school buildings and is a component district of the Capital Region Board of Cooperative Educational Services (BOCES). It was established in 1854 and served 9971 students in pre-kindergarten through twelfth grade in the 2008-09 school year. That same year the district employed 728.8 FTE faculty members and the student-to-teacher ratio was 13.1. As of 2009, the district had the largest population of any school district in the Capital District.
Document 13: Princeton, New Jersey: Princeton is a municipality with a borough form of government in Mercer County, New Jersey, United States, that was established in its current form on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township. As of the 2010 United States Census, the municipality's population was 28,572, reflecting the former township's population of 16,265, along with the 12,307 in the former borough.
Document 14: New York State Route 204: New York State Route 204 (NY 204) is an east–west state highway located just southwest of Rochester in Monroe County, New York, in the United States. The western terminus of the route is at exit 6 on Interstate 490 (I-490) in Gates. Its eastern terminus is at I-390 exit 18. The western portion of NY 204 is a limited-access highway known as the Airport Expressway that indirectly connects I-490 to the Greater Rochester International Airport. The remaining part of the connection is made via the at-grade portion of NY 204 on Chili (NY 33A) and Brooks Avenues. NY 204 was assigned c. 1965 going from I-490 to the Rochester city line in Gates, however the section between I-390 and the city line was removed by January 2017.
Document 15: New York State Route 20N: New York State Route 20N (NY 20N) was a state highway in central New York in the United States. It was an alternate route of U.S. Route 20 (US 20) that stretched for 30.5 mi between Marcellus and Cazenovia. The road began at its parent route, US 20, and NY 174 in Marcellus and ended at US 20, NY 20SY, and NY 92 in Cazenovia. All of NY 20N was concurrent with at least one other route, namely NY 174 in Marcellus, NY 175 from Marcellus to Onondaga Hill, NY 173 from Onondaga Hill to Manlius, and NY 92 and NY 20SY between Manlius and Cazenovia. NY 20N was assigned in May 1937 and removed in 1961 along with NY 20SY.
ground_truth: Princetown