Is it possible to use just two SPDT relays to control this AC motor?

Question

I purchased an inexpensive electric hoist off Amazon with the intention of partially replacing its control circuits so that it can controlled via ESPhome.

There are only 2 buttons on the control box. This hoist has 3 operating modes:

1. Off (no button pressed)
2. Forward (Forward button pressed)
3. Reverse (Reverse button pressed)

Here are pictures of its existing control circuit:

I believe the AC motor is a Permanent-split capacitor motor based on how the capacitor is permanently wired to one of the motor winding in series.

Based on the above photos, I drew the following schematic:

Does this schematic look correct? I am very unsure about it.

Since the original control circuit uses a single DPDT On-Off-On switch, I just assumed (without much evidence) that it can be replaced by two SPDT relays.

But when I sit down to actually draw the the new relay control schematic, I become stuck. I am struggling to find a way to replace the original one DPDT On-Off-On switch with two SPDT relays.

If I relax the restriction and allow myself to use 3 relays, then the problem becomes easy again, but a two relay would be more elegant if it is indeed possible.

Answer 1

The application would require two single-phase, 110 V ~, 12 A, AC-7B duty, modular contactors with 24 V DC coil and (1 NO + 1 NC) contacts.

Here's the schematic.

The limit switch is not shown.

Answer 2

I don't think your schematic is right- the top switch would do nothing.

Something like the below is what I expect could work (limit switch(s), thermal protection etc. not shown):

^{simulate this circuit – Schematic created using CircuitLab}