Good deal and great location. For travellers who arrived in Taipei early, you can actually walk/shop the underground shopping street from Taipei Main Stn to Beimen Stn (exit at Y28), before you check-in at the apartment. There are some Indonesian restaurants nearer to the exit as well in case you have sudden cravings for Rendang.
If you walk from Beimen Stn exit 2, directly down the street (about 10-15 mins walk), you'll reach the Animate shop and you can either enter the underground pathway or continue walking down the street to reach Ximending.
Otherwise location and accessibility is quite worth the price.