Where your plan offers decisions, a connected app with write access can vote as you without a separate consent prompt. Its vote names the app's host and its self-declared name. An approval can merge a change, and merges can deploy.
A connected app can approve a deployment as a named reviewer and rerun deployment or release work. An environment can refuse connected apps for deployment approvals and reruns. That setting is off until a person turns it on. When enabled, queued deployments approved by apps need a new personal approval; the earlier vote stays in the record. An app rerun already queued stays queued and can still run under the usual admission rules. People and agents can rerun within their usual limits.
A decision set to in person refuses app votes, including votes in a stack or batch. A confirmed decision counts an app vote as your sign-in. An app vote never carries over when in person is required.
Policy, CODEOWNERS and workflow changes still need your passkey. The confirmation names the app and when you approved its connection. A connection you revoke cannot finish a pending vote. The optional passkey layer does not add a prompt to votes.