the problem could also be on your device itself, not just the wifi. if telekom checked the line and it's ok, then you need to see if your phone or laptop is downloading something in the background. windows likes to do system updates you don't notice, or apps quietly load stuff. have you checked that?
it's also possible too many devices are connected to the network at the same time and eating up your bandwidth. neighbors with weak wifi passwords, kids streaming, smartwatch syncing - it adds up. check your router settings to see who's all connected. and on youtube specifically: if you're watching in 4k and your connection isn't super fast, that can just be too much, even if everything's technically fine.
if it's really just the wifi that's problematic, try a different channel in the router. some devices get stuck on congested channels. 2.4 ghz is often super crowded in apartment buildings. if your router can do dual-band, just use 5 ghz if your phone supports it - there's often less traffic on it.