@Tomas E Thanks for reaching out. Accept-* headers except for Accept-version
will Omitted as documented here. Unfortunately, you cannot use the HTTP action.
The workaround you can either create the custom HTTP connector or offload this function to azure function where you can add this header and call your HTTP endpoint and return the response to logic app from azure function.
Please 'Accept Answer' if it helped so that it can help others in the community looking for help on similar topics.