Intermittent `no connection to the server` error using PostgreSQL

After upgrading clickhouse-odbc-bridge to 25.1.5.31, we are getting the following error intermittently (~2% of all queries using ODBC tables):
```
Code: 86. DB::Exception: Received error from remote server http://127.0.0.1:9018/?use_connection_pooling=1&version=1&connection_string=DSN%3Dmy_postgres_db&max_block_size=65409. HTTP status code: 500 'Internal Server Error', body length: 1910 bytes, body: 'std::exception. Code: 1001, type: nanodbc::database_error, e.what() = contrib/nanodbc/nanodbc/nanodbc.cpp:1985: 22023: no connection to the server
;
no connection to the server
, Stack trace (when copying this message, always include the lines below):

0. ./build_docker/./contrib/nanodbc/nanodbc/nanodbc.cpp:554: nanodbc::database_error::database_error(void*, short, String const&) @ 0x0000000006cbbaab
1. ./build_docker/./contrib/nanodbc/nanodbc/nanodbc.cpp:1985: nanodbc::statement::statement_impl::just_execute_direct(nanodbc::connection&, String const&, nanodbc::batch_ops const&, long, nanodbc::statement&, void*) @ 0x0000000006cbde59
2. ./build_docker/./contrib/nanodbc/nanodbc/nanodbc.cpp:1944: nanodbc::execute(nanodbc::connection&, String const&, long, long) @ 0x0000000006cbcedb
3. ./build_docker/./programs/odbc-bridge/ODBCSource.cpp:28: DB::ODBCSource::ODBCSource(std::shared_ptr, String const&, DB::Block const&, unsigned long) @ 0x000000000458bfcd
4. ./contrib/llvm-project/libcxx/include/__memory/construct_at.h:41: DB::ODBCHandler::handleRequest(DB::HTTPServerRequest&, DB::HTTPServerResponse&, StrongTypedef const&) @ 0x000000000458798b
5. ./build_docker/./src/Server/HTTP/HTTPServerConnection.cpp:71: DB::HTTPServerConnection::run() @ 0x0000000006a86a8a
6. ./build_docker/./base/poco/Net/src/TCPServerConnection.cpp:40: Poco::Net::TCPServerConnection::start() @ 0x0000000009265887
7. ./build_docker/./base/poco/Net/src/TCPServerDispatcher.cpp:115: Poco::Net::TCPServerDispatcher::run() @ 0x0000000009265cd9
8. ./build_docker/./base/poco/Foundation/src/ThreadPool.cpp:205: Poco::PooledThread::run() @ 0x0000000009232f3b
9. ./base/poco/Foundation/src/Thread_POSIX.cpp:335: Poco::ThreadImpl::runnableEntry(void*) @ 0x000000000923163d
10. ? @ 0x00007fc94abd7ac3
11. ? @ 0x00007fc94ac698c0
(version 25.1.5.31 (official build))
': (in file/uri http://127.0.0.1:9018/?use_connection_pooling=1&version=1&connection_string=DSN%3Dmy_postgres_db&max_block_size=65409): While executing BinaryRowInputFormat: While executing ODBC. (RECEIVED_ERROR_FROM_REMOTE_IO_SERVER) (version 25.8.11.66 (official build))"
```

The errors are not correlated with specific queries or tables. This error goes away after rolling back clickhouse-odbc-bridge to `24.8.14.39`.

# Deployment information
- clickhouse-odbc-bridge version: `25.1.5.31`
- clickhouse-server version: `25.8.11.66`, also reproduced on `24.8.14.39`
- PostgreSQL version: 15.12
- PostgreSQL deployed on Amazon RDS

```
# odbc.ini
[my_postgres_db]
Description =PostgreSQL ODBC
Driver =PostgreSQL Unicode
Database =my_postgres_db
Servername =.rds.amazonaws.com
UserName =
Password =
Port =5432
Protocol =15.10
ReadOnly =Yes
SSLmode =require
Pqopt =sslrootcert=/sonrai/conf/global-bundle.pem

# odbcinst.ini
[PostgreSQL Unicode]
Description=PostgreSQL ODBC driver (Unicode version)
Driver=/usr/lib/x86_64-linux-gnu/odbc/psqlodbcw.so
Setup=/usr/lib/x86_64-linux-gnu/odbc/libodbcpsqlS.so
Debug=0
CommLog=1
UsageCount=1

# Dockerfile
FROM clickhouse/clickhouse-server:25.8.11.66

RUN apt-get update \
&& apt-get install -y clickhouse-odbc-bridge="25.1.5.31" odbc-postgresql odbcinst unixodbc \
&& rm -rf /var/lib/apt/lists/*
```

Start by comparing clickhouse-odbc-bridge 25.1.5.31 with 24.8.14.39 around programs/odbc-bridge/ODBCSource.cpp and the nanodbc statement-execution frame in the report. Reproduce the intermittent failure using the supplied PostgreSQL 15.12/RDS and connection-pooling configuration. Done means the regression is explained and the bridge no longer intermittently reports that the server has no connection.

Written by the indexing model from the issue text.