Objectives:
Bring Tassadar and two Zealots to the installation entrance
Build a base defense quickly. Once you’ve got a good perimeter defense, begin building Scouts, Shuttles and ground units (whichever you prefer; you just need 12 Zealots and some Dragoons, plus whatever else you’d like.) Since the path to the installation is largely blocked, you will need the Shuttles to ferry your troops over obstacles.
Have your Scouts clear as much of a path as they can. They will not be able to do the entire job (unless you send 24+ of them) but they can at least clear a landing site for your ground troops.
NOTE: There is a Terran base in the far northeast. Attacking it will bring General Duke and a large fleet of Wraiths to attack. Destroying the base is risky, but yields a large Mineral cache. It is a risk, but it can pay off. If you utilize your resources efficiently, only building and upgrading units you will use, you probably won’t need to attack the Terrans.
Put Tassadar and two Zealots into a Shuttle and keep them in your base until you are ready. Once you have assembled your main attack force, send them to the large island in the center of the map. Clearing the Zerg base here takes time and troops, but makes the way to the beacon much safer. Replace any losses you suffer during the attack, then bring a Probe down to establish a secondary base.
Once your forces are back up to strength, send them to the southeast to secure the installation. Once the path is clear, send Tassadar’s shuttle down to the beacon and drop him and the Zealots off.