docs: update client examples in quick start

[supercarefor]

Clarify supported CLIENT values and improve quick start examples.

[cb-heimdall]

🟡 Heimdall Review Status

Requirement	Status	More Info
Reviews	🟡 0/1	Denominator calculation Show calculation 1 if user is bot 0 1 if user is external 0 2 if repo is sensitive 0 From .codeflow.yml 1 Additional review requirements Show calculation Max 0 0 From CODEOWNERS 0 Global minimum 0 Max 1 1 1 if commit is unverified 0 Sum 1

[cb-heimdall]

Review Error for mahdi858 @ 2025-12-05 10:19:26 UTC
User failed mfa authentication, either user does not exist or public email is not set on your github profile. \ see go/mfa-help