Does your building fall under The Building Safety Act?

Meaning of “higher-risk building” etc
(1) In this Part “higher-risk building” means a building in England that—
(a) is at least 18 metres in height or has at least 7 storeys, and (b) contains at least 2 residential units.

Meaning of “relevant building”
(1) This section applies for the purposes of sections 119 to 125 and Schedule 8.
(2) “Relevant building” means a self-contained building, or self-contained part of a building, in England that contains at least two dwellings and—
(a) is at least 11 metres high, or (b) has at least 5 storeys.

Not deemed a 'high risk' ,  the building is a converted end of terrace house which has 5 floors (including groundfloor), with a single staircase.

The requirements apply to all non-domestic premises, such as where people work, visit or stay, including workplaces and non-domestic parts of multi occupied residential buildings. The act did away with the 5 employee rule and Im sure there is a requirement for all offices, shops etc (no matter how small) to conduct an FRA and record the findings in full (not just significant).

I knew what you meant - those changes to the Fire Safety Order which have just been brought into effect by the Building Safety Act.

These changes so far are about communication of information such as sharing of risk assessments. They don't change who is responsible for the risk assessment (if I remember correctly).  If the landlord does need to do one, they should have done it anyway under the existing version of the Order.

In a commercial rented premises, if the occupier occupies the whole of the building rented as a single unit, they would usually have the responsibility for the fire risk assesment.  However if there is shared occupancy or there are common parts of the building such as areas from which different tenant units can be accessed (such as lobbies and stairways), those common parts would need a fire risk assessment by the landlord.

To answer the OP’s question, yes, the landlord needs to do an FRA for commercial premises and share the findings with relevant people, i.e., the tenant. However, the extent of the Assessment may depend.

In my experience, the lease agreement is important and key. The contract should detail the fire safety responsibilities of the client/landlord/tenant. For example, who supplied and maintains the Fire Extinguishers? Who is responsible for the Fire Alarm maintenance and testing? Who pays for the fixed wiring examination? Etc.

Once the responsibilities are agreed upon, this will be helpful, and each requirement should be detailed in each party’s respective Fire Risk Assessments. Generally, the fabric of the building would be the responsibility of the landlord and possibly the fixed wiring EICR inspections. The tenant may be responsible for firefighting equipment, safe emergency evacuation, portable appliance testing, training of their staff, etc.

Michael999, I believe you have done the right thing in considering building issues in your FRA and passed these onto the landlord. To get them to comply with your recommendation will revert to the lease agreement.