[MM-53944] Make use of github.com/mattermost/mattermost/server/public

[hanzei]

Summary

This PR makes use of the newly created go module in https://pkg.go.dev/github.com/mattermost/mattermost/server/public.

It also sync the tooling with https://github.com/mattermost/mattermost-plugin-starter-template.

Ticket Link

https://mattermost.atlassian.net/browse/MM-53944

[codecov-commenter]

Codecov Report

Patch coverage has no change and project coverage change: -0.01% ⚠️

Comparison is base (b989a0d) 2.06% compared to head (fb8368d) 2.06%.

Additional details and impacted files

@@            Coverage Diff            @@
##           master    #163      +/-   ##
=========================================
- Coverage    2.06%   2.06%   -0.01%     
=========================================
  Files          14      14              
  Lines        1741    1746       +5     
=========================================
  Hits           36      36              
- Misses       1703    1708       +5     
  Partials        2       2              

Files Changed	Coverage Δ
server/activate_hooks.go	0.00% <0.00%> (ø)
server/channel_hooks.go	0.00% <ø> (ø)
server/command_hooks.go	0.00% <ø> (ø)
server/configuration.go	5.76% <ø> (ø)
server/file_hooks.go	0.00% <ø> (ø)
server/http_hooks.go	6.75% <ø> (ø)
server/job.go	0.00% <ø> (ø)
server/login_hooks.go	0.00% <ø> (ø)
server/main.go	0.00% <ø> (ø)
server/message_hooks.go	0.00% <ø> (ø)
... and 4 more

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[lieut-data]

Nice, @hanzei! Just one thought below :)

[hanzei]

@cpoile Would you mind giving this PR a review while @lieut-data is out?

Resolved via fb8368d

[cpoile]

Good job!

[hanzei]

I did some smoke testing and didn't run into issues. Merging 🚀

cc @DHaussermann