It depends on the extensions and what they are doing.
Typically, if a data layer is built on the page, called utag_data and is built to best practice then the standard extensions will not clash. However it sounds like you may be building some kind of synthetic data layer using extensions, so depending on how they work and what they are doing, depends on if there may be a clash.
My suspicion is that it will be fine, however if you would like someone to check, please speak to your account manager.
Connecting data systems since the 1980s.