chore: update the website getting started docs

[dyladan]

Fixes #2305
Fixes #2070

[codecov]

Codecov Report

Merging #2306 (e67e377) into main (2276e4f) will decrease coverage by 0.25%.
The diff coverage is n/a.

@@            Coverage Diff             @@
##             main    #2306      +/-   ##
==========================================
- Coverage   92.86%   92.60%   -0.26%     
==========================================
  Files         143      142       -1     
  Lines        5099     5059      -40     
  Branches     1042     1039       -3     
==========================================
- Hits         4735     4685      -50     
- Misses        364      374      +10     

Impacted Files	Coverage Δ
...ontext-async-hooks/src/AsyncHooksContextManager.ts
...sync-hooks/src/AbstractAsyncHooksContextManager.ts
...async-hooks/src/AsyncLocalStorageContextManager.ts
...es/opentelemetry-context-zone-peer-dep/src/util.ts	100.00% <0.00%> (ø)
...ry-context-zone-peer-dep/src/ZoneContextManager.ts	85.18% <0.00%> (ø)