Fix deployment webhook for bridge job

What does this MR do and why?

This MR fixes that deployment webhook raises an error because Job Details page is not supported for bridge jobs.

Related to Support `environment` keyword with `trigger` ke... (#369061 - closed) and Support environment keyword with trigger keyword (!128693 - merged)

See PoC for more information.

Screenshots or screen recordings

N/A (The feature is not exposed to users yet)

How to set up and validate locally

N/A (The feature is not exposed to users yet)

MR acceptance checklist

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