Hi Nick Smith,
Thank you for your question.
Unfortunately I am unable to give you a full answer to your query within this general Income from Property forum.
As you have stated under the HMRC rules in respect of a property being classed as a Furnished Holiday Let the property has to be let out commercially to the public for at least 105 days.
Please refer to the following guidance if the property is let out for less than 105 days:
HS253 Furnished holiday lettings (2020)
However, I would advise you to contact the Greater London Council in respect of your question regarding obtaining planning permission for a material change of use.
Thank you.