The letter has been updated as per your suggestion and an appeal has been lodged online. They have confirmed the case reference number: 2260300513
The confirmation email states that they will consider the appeal and confirm within 7 days if it is accepted.
It is not clear from your post if you have chosen a personal (=video/telephone) hearing or a decision on papers. (N.B. we always recommend a personal hearing, never a decision on papers. ) Please confirm. Also let us know the date of the hearing, and please copy and paste here the e-mail from LT (redact yr name and e-mail address).