ARROW-16560: [Website][Release] Fix versions.json update phase

[kou]

Update versions.json before (not after) we tag a new version. Because
we need to use updated versions.json on release. If we update
versions.json after tagging, documentations of new release use
non-updated versions.json.

[github-actions]

https://issues.apache.org/jira/browse/ARROW-16560

[github-actions]

⚠️ Ticket has not been started in JIRA, please click 'Start Progress'.

[ursabot]

Benchmark runs are scheduled for baseline = 02af333 and contender = 9b58385. 9b58385 is a master commit associated with this PR. Results will be available as each benchmark for each run completes.
Conbench compare runs links:
[Finished ⬇️0.0% ⬆️0.0%] ec2-t3-xlarge-us-east-2
[Failed ⬇️0.23% ⬆️0.0%] test-mac-arm
[Finished ⬇️0.0% ⬆️0.0%] ursa-i9-9960x
[Finished ⬇️0.39% ⬆️0.0%] ursa-thinkcentre-m75q
Buildkite builds:
[Finished] 9b583852 ec2-t3-xlarge-us-east-2
[Failed] 9b583852 test-mac-arm
[Finished] 9b583852 ursa-i9-9960x
[Finished] 9b583852 ursa-thinkcentre-m75q
[Finished] 02af333b ec2-t3-xlarge-us-east-2
[Finished] 02af333b test-mac-arm
[Finished] 02af333b ursa-i9-9960x
[Finished] 02af333b ursa-thinkcentre-m75q
Supported benchmarks:
ec2-t3-xlarge-us-east-2: Supported benchmark langs: Python, R. Runs only benchmarks with cloud = True
test-mac-arm: Supported benchmark langs: C++, Python, R
ursa-i9-9960x: Supported benchmark langs: Python, R, JavaScript
ursa-thinkcentre-m75q: Supported benchmark langs: C++, Java