Update remote server logs

[MaggieShan]

Description

• Demotes various logs from error to warn to not flood our sentry reporting
• Updates formatting of logs such that all conversation specific parts are at the end
• Uses safe_error instead of log::error

Linked Issue

Context: https://warpdev.slack.com/archives/C06MT1NRBFV/p1777920384522969?thread_ts=1777919599.697909&cid=C06MT1NRBFV and https://warpdev.slack.com/archives/C0AMRA82ZKL/p1777920563254069

Testing

No-op

Agent Mode

• Warp Agent Mode - This PR was created via Warp's AI Agent Mode

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@MaggieShan

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[oz-for-oss]

Overview

This PR updates remote-server logging by demoting selected expected failure paths from error to warn, normalizing log formatting, and using safe logging for response variants that may contain sensitive payload details.

Concerns

• No blocking correctness or security concerns found in the changed lines.

Verdict

Found: 0 critical, 0 important, 0 suggestions

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