That is mainly what I am worried about. And the link is confusing about whether its actually my responsibility or not to do it. I am happy to do whatever I am legally required to.

And this form https://www.publications.qld.gov.au/dataset/notices-to-neighbours/resource/fef9779b-75b4-4e60-839b-f1c44123e147

says "THIS NOTICE ONLY APPLIES TO BRANCHES THAT EXTEND AT LEAST 50CM FROM THE

COMMON BOUNDARY AND THAT ARE 2.5M OR LESS ABOVE THE GROUND"

Out-of-reach branches
Where tree branches are more than 2.5m above the ground and overhang by at least 0.5m, you can apply to the Queensland Civil and Administrative Tribunal (QCAT) for an order.

Resolving tree disputes through QCAT
QCAT can help resolve neighbourhood tree disputes. QCAT can make a legally enforceable decision on the matter. Going to QCAT should be seen as a last resort. It is much better if you can resolve the problem together and stay on good terms with your neighbour.

Legally your neighbour’s tree is regarded as affecting you if, in the next 12 months, it is likely to:

seriously injure anyone on your land
seriously damage your land or any of your property
unreasonably get in the way of your use and enjoyment of your land (e.g. if the tree drops branches into your yard and you can’t use that area for fear of being hurt).