I would send what I did for you.
You're making it far too complicated.
No sign as missing = no contravention.
Repeater sign - I saw and moved out.
Keep it simple so they understand.
I've edited it a bit - enclose your pic showing no sign.
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As indicated in my initial representations, there was no regulatory sign at the start of the bus lane at the time of the alleged contravention to show that any restriction applied.
The sign was missing as I expect the authority knows so there was no contravention, and I enclose a picture to show you.
As soon as I saw the repeater sign around the bend I moved out of the lane as your video shows.
I trust this makes the situation crystal clear and look forward to your early confirmation of cancellation.