Update the doc of the IRC bridge integration.

[Niloth-p]

Screenshots

IRC doc link

Self-review checklist

• Self-reviewed the changes for clarity and maintainability
  (variable names, code reuse, readability, etc.).

Communicate decisions, questions, and potential concerns.

• Explains differences from previous plans (e.g., issue description).
• Highlights technical choices and bugs encountered.
• Calls out remaining decisions and concerns.
• Automated tests verify logic where appropriate.

Individual commits are ready for review (see commit discipline).

• Each commit is a coherent idea.
• Commit message(s) explain reasoning and motivation for changes.

Completed manual review and testing of the following:

• Visual appearance of the changes.
• Responsiveness and internationalization.
• Strings and tooltips.
• End-to-end functionality of buttons, interactions and flows.
• Corner cases, error conditions, and easily imagined bugs.

[laurynmm]

@Niloth-p - Thanks for working on updating this doc! Overall, these updates look good. I had a few thoughts on revisions/tweaks that could make the instructions clearer. Let me know if you have any questions!

[Niloth-p]

Thank you for the review! Updated as recommended.
I've also switched to using backticks instead of double quotes for channel and topic names, and added the prefix # in front of channel names (because that's the convention in the Help docs - example), based on your review comment on another doc PR.

Screenshots

[alya]

Suggested change

	1. [Subscribe the bot][subscribe-channels] to the Zulip channel that will
	contain the mirror.
	1. [Subscribe the bot][subscribe-channels] to the Zulip channel where IRC messages should be mirrored.

[alya]

Is this 1-way mirroring or 2-way mirroring? Everything in the doc sounded like 1-way mirroring until I got to the screenshots.

[Niloth-p]

Thank you for the review!
I totally missed accounting for the 2-way mirroring.

Updates:

• Suggested re-phrasing.
• Bold formatting for channel names (including the IRC channel name).
• Double quotes for topic names.
• 2-way mirroring related updates: The intro line, the instruction regarding the integration script command.
• Added a new instruction at the end.

Screenshots

[alya]

Why is it <zuliptestbot[m]>, by the way, as opposed to <zulip> perhaps?

[alya]

Passing on to @timabbott for review.

[Niloth-p]

Why is it <zuliptestbot[m]>, by the way, as opposed to perhaps?

That screenshot is pretty old. It's probably just a random bot name, I'm not sure. I would have expected the bot's nick to end with "_zulip" too, to avoid echoing. We'll need to update the IRC screenshot in sync with the Zulip screenshot, which we would update once we have support for generating screenshots of message threads. So, the image updates would go in a separate update later.