fix: preserve studio prompt across login via session storage

[HarshMN2345]

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[appwrite]

Console (appwrite/console)

Project ID: 688b7bf400350cbd60e9

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console-stage 688b7cf6003b1842c9dc	Ready	View Logs	Preview URL

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[TorstenDittmann]

i think onmount should be good enough 👍🏻

[HarshMN2345]

onMount alone isn’t working, even without navigation 😓