[MAINT] Update circle-ci trigger-hosting

[Remi-Gau]

• Closes Doc not hosted or deployed by circle CI #4401
• Possibly addresses restore link to artifacts in github PR pages #2508 but we will only know after merge because of how the github action to redirect artifacts works

Changes:

• triggering the circle-CI workflow is done directly by the github workflow that builds the doc
• this allows getting rid of a whole github workflow and associated bash script
• simplify the circle ci workflow as it now needs fewer variables

[github-actions]

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[Remi-Gau]

the time out is by default 360 minutes anyway

[Remi-Gau]

Tests failures are unrelated. See #4404

[bthirion]

LGTM overall !

[Remi-Gau]

will merge so we can know if the artifacts redirects works