The project got a mention in Seeking Alpha on April 6, 2022 which references a few details about cruise ships that will launch in 2024 / 2025:

Disney is seeking to expand the Disney Cruise Line business, to include three more ships, with the first being launched in June 2022, with the others being delivered in 2024 and 2025. The new ships are slightly larger than the Disney Dream and Disney Fantasy - but hold the same 1,250 room layout. In addition, these ships are liquid natural gas powered. Disney has an ongoing agreement with the Government of the Bahamas to create a new resort at "Lighthouse Point" on the island of Eleuthera, which is scheduled to open in 2024 as a new Disney Cruise Line experience.
Source: https://seekingalpha.com/article/4500065-disney-is-a-buy

Also, recently from Eyewitness News on April 5, 2022:

Disney Cruise Line has named Joey Gaskins, based in New Providence, as Regional Public Affairs Director, The Bahamas and Caribbean.

In this newly created position, Gaskins will support Disney Cruise Line and other Disney Signature Experience business initiatives in The Bahamas and Caribbean by building relationships and serving as Disney’s liaison for external stakeholders, including government agencies, community leaders, the non-profit community, media, and internal business leaders.

...

Disney Cruise Line has committed to filling all positions on Castaway Cay with Bahamians across a range of disciplines with opportunities for training and advancement. Disney recently received the necessary approvals from the Government of The Bahamas to begin work at Lighthouse Point, which is expected to create more than 300 construction-related roles – more than double the number of jobs Disney Cruise Line committed to in its Heads of Agreement.
Source: https://ewnews.com/disney-cruise-line-creates-new-comms-role-hires-bahamian-joey-gaskins