Add agent chat messages + transcriptions to readme example

[1egoman]

Note that I have tested this locally. Also the styling is a little weird but I'm not going to worry too much about that given the display code will probably be short lived / swapped out with some template components.

[changeset-bot]

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Latest commit: 12d0b3e

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[github-actions]

size-limit report 📦

Path	Size
LiveKitRoom only	6 KB (0%)
LiveKitRoom with VideoConference	32.46 KB (0%)
All exports	43.29 KB (0%)

[davidzhao]

lg