The parquet is bulging in two spots after parquet restoration

The facts "spoke" for it being glued: underfloor heating, laid continuously in all rooms, year of construction 2009.

I read equally as a fact glued as floating laid. Floating laid always sounds a bit hollow. Glued like tiles. Otherwise, you can easily recognize floating at the edge – slightly lift or see the impact sound insulation underneath (this is almost always laid up to the wall).