No offence intended, but sounds like the blind leading the blind!
No requirement to have RCD protection on a TT system, you just have to ensure the circuit can reliably meet max zs values. In reality, on a domestic job this isn't reliably possible, so you need to provide additional protection. ie an RCD. The only proper way to do it is to fit an S Type RCD on the sub main and double pole/single pole switched neutral RCBO's at the garden room. This means a separate switch fuse at the origin and probably a new consumer unit/RCBO's at the garden room as your RCBO's are probably single pole. Probably not what you wanted to hear.
You could fit a 50A RCBO on the sub main and end up with no selectivity, but it would be safe, just not right imo. I doubt you will find a 63A RCBO.
15mm cable? Not a size that exists.
Could you post a picture of inside both house and garden room consumer units? Then it can be decided if it can be easily sorted or if I feel like you should be seeking help from a local electrician. Apologies for bluntness.