Ann: Tivan launches $7.5m Entitlement Offer for Shareholders, page-39

All this information is in the "Entitlement Offer Prospectus". The important dates are on Page 6. It was in a recent announcement and that announcement is also able to be seen from Hot Copper, below.
As I see it, an Entitlement & Acceptance Form will be despatched to all eligible holders on 22 August (ie, this coming week) and holders should get it either that day or the next day. The offer closes Monday 2 September 2024. There is always a possibility these dates will be extended but don't count on it!

From personal experience with other offers (not necessarily TVN), the offer you get will allow you to apply for your maximum holding or some lesser figure and provide for payment to be made by BPay. In this case they have said you may also apply for part of any shortfall (and it appears to be quite likely you would be able to get all or most of your extras, but obviously I have no knowledge of what the actual take-up will be).

The options, in my opinion, would only be worth converting if the share prices reaches 12c, otherwise it would be cheaper to buy the full ordinary share at a lower price. The big value of the options would be if the finance we need for development emerges and the share price soars in response, in which case the converted option would be worth a lot.