Question: Who claimed the regions of Araucania and eastern Patagonia while also being accused of being a self-proclaimed king?

Context paragraphs:
Thado Dhamma Yaza I of Prome: Thado Dhamma Yaza I (Burmese: သတိုးဓမ္မရာဇာ , ] ; c. 1490s–1551) was viceroy of Prome (Pyay) from 1542 to 1550 during the reign of his son-in-law King Tabinshwehti of Toungoo Dynasty of Burma (Myanmar), and the self-proclaimed king of the city-state from 1550 to 1551.  After the death of Tabinshwehti in 1550, the man who started out as a royal household servant of Tabinshwehti in 1516 declared himself king of Prome with the style of Thado Thu (သတိုးသူ , ] ), and did not submit to Bayinnaung, Tabinshwehti's chosen successor.  His fortified city-state fell to Bayinnaung's forces in 1551 after a six-month battle.  He was executed on the order of Bayinnaung, who later regretted the decision.

Kingdom of Araucanía and Patagonia: The Kingdom of Araucanía and Patagonia (Spanish: "Reino de la Araucanía y de la Patagonia" ; French: "Royaume d'Araucanie et de Patagonie" , sometimes referred to as "New France") was a proposed state and kingdom conceived in the 19th century by a French lawyer and adventurer named Orélie-Antoine de Tounens.  Orélie-Antoine de Tounens claimed the regions of Araucanía and eastern Patagonia.  It was an unrecognized state that enjoyed only marginal sovereignty in a brief period of time, through alliances with some Mapuche lonkos, in a reduced area of Araucanía, in current Chile.

Nebuchadnezzar IV: Nebuchadnezzar IV ( ), also known as Arakha, was a self-proclaimed King of Babylon.  Arakha (meaning 'crown prince' in Armenian), was an Armenian who was the son of Haldita.  However, he claimed to be the son of the previous king of Babylon, Nabonidus, and renamed himself Nebuchadnezzar IV.  His rebellion was short-lived and was suppressed by Intaphrenes, Darius I's bow carrier.

Ice King: The Ice King is a character in the American animated television series "Adventure Time".  A supposedly evil wizard capable of creating and manipulating ice and snow, he is the self-proclaimed king of the Ice Kingdom, a land of ice he claimed as his own where he lives in the company of many penguins.  Although technically an antagonist, he sometimes helps the main characters and is the protagonist of several episodes focusing on his struggles or backstory.  The character is voiced by Tom Kenny.

Adiós, Tierra del Fuego: Adiós, Tierra del Fuego is a 2001 book by the French writer Jean Raspail.  It focuses on Tierra del Fuego, an archipelago off the southern tip of South America, in both a historical and personal perspective.  The area had been the subject of several previous works by Raspail, in particular related to the subject of Orélie-Antoine de Tounens, the self-proclaimed king of Araucanía and Patagonia, who also is featured prominently in "Adiós, Tierra del Fuego".  The book received the Jean Giono Prize.

Thado Dhamma Yaza III of Prome: Thado Dhamma Yaza III (Burmese: သတိုးဓမ္မရာဇာ , ] ; also known as Mingyi Hnaung (, ] ); 1571–1597) was viceroy of Prome (Pyay) from 1589 to 1595, and self-styled king of Prome from 1595 to 1597.  Hnaung was initially a loyal vassal of his father King Nanda until 1594 when he openly clashed with his brother Crown Prince Minye Kyawswa.  Hnaung revolted in 1595 during the Siamese siege of Pegu (Bago).  His revolt started a string of other revolts by the major vassal states of the Toungoo Empire in the next two years.  His attempts to take over territories beyond Prome's traditional vassals in the present-day Magwe Region were unsuccessful.  The self-proclaimed king was assassinated by Yan Naing, one of his trusted advisers, on the eve of his planned invasion of Upper Burma in 1597.

Orélie-Antoine de Tounens: Orélie-Antoine de Tounens (May 12, 1825 – September 17, 1878) was a French lawyer, and adventurer, who assumed the title of King of Araucanía and Patagonia.  It is disputed whether Tounens was a self-proclaimed king or was elected in a national assembly (called Futa Kollog) by more than 3,000 indigenous Mapuche delegates; and the highest Mapuche authorities of the time, including the most important "Loncos" (Mapuche chiefs) and "Toki" (Mapuche war chiefs).

Saw Binnya: Saw Binnya (Burmese: စောဗညား , ] ; died 1541) was viceroy of Martaban (Mottama) from c. 1510s to 1539, and the self-proclaimed king of the rump Hanthawaddy Kingdom from 1539 to 1541.  First appointed viceroy of Martaban, one of the three provinces of the Mon-speaking kingdom, by King Binnya Ran II, Saw Binnya ruled the province like a sovereign during the reign of King Takayutpi, his brother-in-law.  Under his leadership, the port of Martaban became an international entrepôt, and grew tremendously wealthy.  He was able to build up a formidable military of his own, replete with Portuguese mercenaries and arms.  But his refusal to contribute to Takayutpi's war effort against Toungoo Dynasty greatly facilitated Toungoo's conquest of Pegu in 1538–1539, and ultimately resulted in the downfall of his own fiefdom in 1541.  He was subsequently executed.

Golfo San Jorge Basin: The Golfo San Jorge Basin (Spanish: "Cuenca Golfo San Jorge" ) is a hydrocarbon-rich sedimentary basin located in eastern Patagonia, Argentina.  The basin covers the entire San Jorge Gulf and an inland area west of it, having one half located in Santa Cruz Province and the other in Chubut Province.  The basin has largely developed under condition of extensional tectonics, including rifting.

Tarabya of Pegu: Tarabya of Pegu (Mon: ; Burmese: ပဲခူး တရဖျား , ] ) was the self-proclaimed king of Pegu (located on the eastern side of the Irrawaddy Delta in the south-central coast of modern Myanmar) from 1287 to 1296.  He was one of several regional strongmen who emerged after the fall of the Pagan Empire in 1287.

Supporting paragraphs: Kingdom of Araucanía and Patagonia Orélie-Antoine de Tounens
Answer: Orélie-Antoine de Tounens