Upgrade client, website, and docs packages

[samfreund]

Description

This is partially to close security issues, partially because we just haven't updated in a while.

Meta

Merge checklist:

• [ ] Pull Request title is short, imperative summary of proposed changes
• [ ] The description documents the what and why
• [ ] This PR has been linted.
• [ ] If this PR changes behavior or adds a feature, user documentation is updated
• [ ] If this PR touches photon-serde, all messages have been regenerated and hashes have not changed unexpectedly
• [ ] If this PR touches configuration, this is backwards compatible with settings back to v2025.3.2
• [ ] If this PR touches pipeline settings or anything related to data exchange, the frontend typing is updated
• [ ] If this PR addresses a bug, a regression test for it is added

[mcm001]

Would like to see some sort of testing evidence we've done to make sure things still work :)

[Gold856]

This runs into the Vuetify issue I found a while ago where the padding for the icons is weird: