Charging a MacBook Pro M4 Max (140w) with a Studio Display (96w)?

Hello!

I just bought a MacBook Pro M4 Max and wanted to also get a Apple Studio Display.

My concern is about the watt power needed for the MacBook Pro M4 Max. The charger is 140w but the Apple Studio Display only has 96w to charge.

This doesn't sound right to me because, probably, the MacBook will drain battery when doing high intense tasks even connected to the Studio Display, am I right?

Thank you in advance for your support.