Apple Studio Display and MacBook Pro M3 Max AC charger

It is not an accident that the device you plug in the wall is called the power adapter. The CHARGER is inside your MacBook Pro, and it is under Program control at all times. Your Mac accepts the power it needs to run from, as Apple puts it "the Best source" but typically the FIRST source. It only draws additional power to charge the battery when the battery needs to be charged.

Your MacBook Pro is a battery-CAPABLE device, it was never intended to be a solely battery-OPERATED device, it is not an iPhone, charged all night and run all day. Your MacBook Pro charges its battery only when necessary, and it will NEVER over-charge.

no worries.

Your computer performs best when connected to AC power adapter or comparable power source. It can use the full output of the Power Adapter AND when doing especially challenging work will also freely "borrow" power from the battery. In some cases, even with the power adapter connected, the charged state may decline during stressful work.

Accepting power from multiple sources at the same time is very difficult, and your MacBook Pro can not do that.

So I did a deep dive on thunderbolt Display Port HDMI USBC and really if the laptop/devic calls for it and it's accepting it then I think your in good shape.

It's all controlled via protocal that dictates how much power and to where so if your running then keep at it.

Charge your MacBook Air or MacBook Pro - Apple Support