If the landlord decides to take you to court for non-payment of rent, provided there is no dispute that the landlord did indeed agree to this and make the manuscript amendment on the document, then it would be sufficient for court purposes that the landlord did agree to this.
It is not unusual to make handwritten amendments to documents like this provided the amendment is signed. If the landlord is using a letting agent, just get the letting agent to rubberstamp the document.
You need a copy of the document.
From what you have said, it’s not something I would be unduly worried about. I think it sufficient what you need.
Can I clarify anything else for you?
I am happy to answer any specific points arising from this.
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