Just to expand on what others have said, the Author seems to give a Patreon update on Development roughly once per month, so hopefully, we will have more information in a 2 or 3 weeks. They stated that they wanted a "cooky" side project so they aren't always stuck writing depressing and dramatic scenes (Based on context, they would alternate releases between L&J and AHWG). They decided on a basic premise (by patreon vote) for the side project on July 28th (17 days ago), and the author said they would start story boarding
We know that story boarding for Love & Jealousy took 4 weeks, and then an additional month to get the first act out, so we are assuming it will take ~2 months of total work to get the first chapter of AHWG out. It also appears like it takes the author 1-2 months to make an update in general. In general, this means that starting with Act 3, it'll probably be about 3 months between updates
The author also stated that they didn't think L&J would become popular, so they didn't add QoL features such as a Gallery into it. Now, they are considering doing that, possibly for Act 3. This would increase dev time the update is only something like releasing an update without story enhancements, only QoL bits.
the author didn't mention the order that they are doing things, so for all we know, it could be AHWG Story Boarding -> L&J Act 3 -> AHWG Act 1. However, I'm going to look at it pessimistically since all of my favorite stories take forever (Berserk...)
So, with that, unless the author takes a break, I believe that it will be 2 months for AHWG Act 1, then 2 months for L&J Act 2, maxing out the typical timeframe due to those QoL updates. This will put us around Late November/Early December for the next L&J update