Well the 2 pairs of 13 pins tells me the board is likely designed for an original Raspberry Pi (later model Raspberry Pis now have 2 rows of 20 pins, but the first 13 pins are the same pinout as the previous pi models).
For Teensy36 I used the very similar 3.2 inch ILI9341 display like this
For the Waveshare 3.5" Type (B) revision 2 LCD and Teensy36 I used:
which was only semi-working
Note that https://github.com/Bodmer/TFT_eSPI provides drivers for the 480x320 LCD(B) (tested as working with RP2040) and reported working with Teensy3x and 4x)
(Maybe) ignore my comment on the LCD(A) wiki because:
3.5inch RPi LCD (A) and 3.5inch RPi LCD (B) (revision 1?) are hardware compatible with each other (use different drivers), and can be mutually substituted in most cases. (A) is the low cost version while (B) is higher quality IPS version with better display. This is (B) version.
I am wondering if this display has a display driver chip on it or if it might be something like the KeDei display we were playing with a few years ago.
Which was another RPI 3.5" display, but it did not do standard SPI or the like but sort of. It hooked up shift registers, that you had to send so many bytes and control the CS register... We talked about it in the thread:
From the eSPI config file:
The ILI9486 RPi display must be of the Waveshare design and use a 16 bit serial interface based on the 74HC04, 74HC4040 and 2 x 74HC4094 logic chips
The OP pic shows them all in an L shaped row on the PCB...