WDS or repeater?

Can you tell me if it is possible to implement such a scheme as in the attachment?

CAPsMAN is configured on the main router, access points are connected to it via cable.
It is necessary to add one more access point, but there is no
way to extend the cable to it. Can I connect it via WDS to an existing access point or is it better to configure it in repeater mode?

You can not use WDS on Capsman…

I connected the access point as a repeater, the Internet works. But when you raise the hotspot on the main router on this particular access point, there is no Internet and the authorization page is not displayed. Other hotspots that are cabled with hotspot are fine. How can you defeat this?

Are you sure you have configured it just as a Repeater ?
Post your wireless configuration for that AP with hide-sensitive…

[admin@Stolovka] > /export hide-sensitive

aug/31/2021 08:25:21 by RouterOS 6.48.4

software id = VSGZ-U2HU

model = Groove A-52HPn r2

/interface bridge
add name=bridge1
/interface wireless security-profiles
set [ find default=yes ] supplicant-identity=MikroTik
add authentication-types=wpa2-psk eap-methods=“” mode=dynamic-keys name=
wlan1-Master2-repeater supplicant-identity=MikroTik
add authentication-types=wpa2-psk eap-methods=“” name=wlan1-Avto_2Ghz-repeater
supplicant-identity=MikroTik
/interface wireless
set [ find default-name=wlan1 ] band=2ghz-b/g/n channel-width=20/40mhz-Ce disabled=no
frequency=2437 mode=station-pseudobridge security-profile=wlan1-Avto_2Ghz-repeater
ssid=Avto_2Ghz
add disabled=no mac-address=0A:55:33:C2:C3:3D master-interface=wlan1 name=wlan3
security-profile=wlan1-Avto_2Ghz-repeater ssid=Avto_2Ghz_ wps-mode=disabled
/interface bridge port
add bridge=bridge1 comment=defconf interface=ether1
add comment=defconf interface=wlan1
add interface=wlan3
/ip dhcp-client
add comment=defconf disabled=no interface=wlan1
/system clock
set time-zone-name=Europe/Kiev
/system identity
set name=Stolovka

Am not sure if station pseudobridge creates any problems here.
Since you can’t use station-bridge to connect to a CAP, what i would try is let the AP out of CapsMAN, configure manually the wireless interface as AP, then configure the reapear to station bridge mode…
And test again …