After some time VPN goes to Reconnecting state

### Please answer the following question for yourself before submitting an issue

- [x] I checked to make sure that this issue has not already been filed

### AdGuard VPN CLI version

1.2.10 nightly

### Environment

- **OS:** Synology DSM 7.2.1-69057 Update 6
Linux version 4.4.302+ (root@build5) (gcc version 12.2.0 (GCC) ) #69057 SMP Fri Jan 12 17:02:28 CST 2024
- **Architecture:** x86_64

HTOP screenshot


VPN config

Location: Ukraine, Kyiv

```
Current configuration:
Data directory: /root/.local/share/adguardvpn-cli
Mode: socks
SOCKS port: 1080
SOCKS host: 192.168.88.102
SOCKS username: adg
DNS upstream: https://d.adguard-dns.com/dns-query/xxxxxxx
Tunnel routing mode: none
Change system DNS: on
Crash reporting: on
Update channel: NIGHTLY
Use QUIC: off
Show hints: on
Debug logging: on
Show notifications: Default (off)
```

### Issue Details

**Steps to reproduce:**
1. Run AdGuard VPN in proxy mode
2. Make requests through the proxy during one day (or more)
3. After a while (a few hours or more), the proxy stops responding.
After disconnect and connect, it works again until next fail.

No connected clients.

I use a simple script to make requests every 5 seconds (change IP:port and login:pwd in she script if you will use it)
[check_vpncli_socks5.zip](https://github.com/user-attachments/files/18464290/check_vpncli_socks5.zip)

Current output

Screenshot 1


**Logs:**
[adguardvpn-cli-logs_18-01-2025_14-00.zip](https://github.com/user-attachments/files/18464316/adguardvpn-cli-logs_18-01-2025_14-00.zip)

### Expected Behavior

Does not disconnect, or reconnects successful.

### Actual Behavior

**Start time:** 16:43:57
**Last successful request:** 12:05:28
**Current time:** 13:45

During this session clients did not use this proxy. I use CURL request in loop to check the proxy
`curl --proxy socks5h://192.168.88.102:1080 -U adg:adg https://adguard.com/whoami.txt`

### Screenshots

_No response_

### Additional Information

_No response_