Not possible for a tick to escape a P4 laboratory....
I want to believe you. But no human effort is perfect.
Are you certain that every crack and crevice in the building / lab is sealed - where the electric, pluming and ventilation run through the walls, ceiling, floor?
There is no crack anywhere where a tick can call through, none?
Foundations don't settle? Windows don't leak?
The systems never failed or were down for maintenance from time to time.
Every mishap was reported?
The east end of Long Island is loaded with tick hosting deer.
Seals frequent Plumb Island, do they host ticks?
The ferry to Connecticut is real close to the ferry to Plum Island.
I will remain skeptical about where Lyme disease originated.
Tick precautions for the Long Island woods:
Wear a permethrin treated skin tight base layer and hat- think scent free garments used for hunting, thin baseball socks over regular socks. Use the permethrin around all openings such as cuffs, collars, zippers and let dry (you don't need to treat the entire garment). You don't need to treat the outer garments if you treat the base layer. Keep everything tucked into each other. Wear treated high rubber boots. Undress in the garage on a treated tarp. I also lay down a permethrin treated bed sheet in the back of my SUV that I store my hunting gear on. I store my hunting clothes in sealed bags with a treated washcloth thrown in for good measure. Check all cracks and crevices for ticks especially at the waist line and hair. Get tested and treated immediately if you find a tick embedded in you.