While Google native product tags, such as "Google Analytics" or "Google Ads" ones, work out of the box, third-party vendor tags require additional settings to properly operate with the user consent. First, open your tag configuration and check under the (12)
"Advanced Settings" and (13)
"Consent Settings" if a consent type (E.g. "ad_storage") is already preconfigured, if not you need to add it by selecting the option (14)
"Require additional consent for tag to fire" and (15)
input the consent type(s) you want to include.