To solve the 3 patient band puzzle in Silent Hill 2 remaster, you need to find and arrange three patient bracelets on a statue of a hand in the Director’s Office of Brookhaven Hospital. Here are the detailed steps to find each bracelet and solve the puzzle:

### Step 1: Find the Marked Bracelet

1. **Locate the L1 Room Key**:
– Go to the Nurse’s Lounge on 2F of Brookhaven Hospital.
– Interact with the cart in Room L1 to climb over and access another room.
– Make your way to the Utility Room and find a gap in the wall. Climb through it to fall down to 1F.
– Navigate to the Medical Records office on 1F.

2. **Retrieve the Marked Bracelet**:
– Inside the Medical Records office, find the Marked Bracelet in the northwestern corner of the room.

### Step 2: Find the Bloodstained Bracelet

1. **Acquire the Bent Needle**:
– Go to the Women’s Locker Room on 2F.
– Interact with the teddy bear to get the Bent Needle and the Shotgun.

2. **Drain the Pool**:
– Make your way to the Dayroom on 1F using the 1F Inner Ward Key from Examination Room 5 on 3F.
– Enter the Pharmacy via the Dayroom.
– Head outside to the Garden and then to the Pool.
– Use the Maintenance Key (obtained by combining the Medical Tube with the Bent Needle in the Pharmacy) to drain the pool.

3. **Retrieve the Bloodstained Bracelet**:
– Once the pool is drained, enter the pool and smash the eye painting on the north side with your Steel Pipe.
– Inside, you’ll find the Bloodstained Bracelet.

### Step 3: Find the Filthy Bracelet

1. **Solve the X-Ray Viewer Puzzle**:
– Go to the Nurses Station on 2F and solve the X-Ray Viewer puzzle on 3F.
– Inside the Women’s Locker Room, find a Bent Needle inside a teddy bear.
– Head to the X-Ray Room on 3F and pick up the Radiograph of a Pelvis and the 1F Inner Ward Key.
– Go to the Pantry via the 1F Inner Ward and pick up the Mold Remover.
– Squeeze through the gap in the Dayroom to get to the Pharmacy, then hop the window to reach the Garden and get to the Pool.
– Head into the Shower Room, pick up the Medical Tube, and go to the Doctor’s Lounge.
– Grab the Keypad Combination Note from the Board and return to the Nurses Lounge.
– Open the Keypad, head inside, and pick up the Moldy Radiograph.
– Combine Moldy Radiograph with Mold Remover to get a Cleaned Up Radiograph and return to the X-Ray Room.
– Interact with the X-Ray Viewer Puzzle and arrange the Radiographs to match the markings and reveal a code.

2. **Retrieve the Filthy Bracelet**:
– Use the combination lock code to open Room D1 on 3F.
– Inside Room D1, interact with the bed to find the Filthy Bracelet.

### Step 4: Solve the Hand Puzzle

1. **Arrange the Bracelets**:
– With all three bracelets in your possession, head back to the Director’s Office.
– Place the bracelets on the hand statue in the following order:
– Bloodstained Bracelet
– Marked Bracelet
– Filthy Bracelet.

2. **Verify the Solution**:
– The hand will open, revealing a code and the Director’s Storage Room Key.

### Conclusion

By following these steps, you will have solved the 3 patient band puzzle in Silent Hill 2 remaster, allowing you to progress further in the game.