As Brendan said above, get specialist advice on the matter.
My reading of the situation is that the CGT exemption could potentially apply here.
Separation orders made by a court in a foreign jurisdiction analogous to one made by an Irish court are "entitled to be recognised to be valid in the State". This is outlined in the Revenue guidance document you referenced. Be aware that it is not sufficient that a couple are to be separated by a deed of separation - the transfer of the property must be made in execution of the terms of the deed/court order i.e. the court order must require the asset to be transferred.
In 2024 your tax status will be:
- non resident, and
- non ordinarily resident (as you were not tax resident in Ireland for the three preceding tax years).
As a result, you are taxable (liable to Irish CGT) on any gains on Irish specified assets. The house you jointly own comes under the category of specified asset.
The Revenue guidance you referenced states that the no gain/no loss treatment will not apply if the acquiring spouse could not be taxed on a disposal of the asset in the year that the disposal to that spouse takes place. Even though you are non resident, you are still liable to tax on the disposal of an Irish specified asset. It appears to me that your spouse could avail of the CGT exemption (if the separation order is recognised and the court order requires the transfer) and you would acquire his original base cost of the asset and ultimately the full CGT will be payable by you on the disposal of the asset in the future.
Assuming the above is the correct tax treatment (and again, get advice on this), you will need to factor this in to the separation sums regarding the fair division of assets etc.