PINGREQ still going out even when QoS 1 publishes are happening within keep alive period

# Prerequisites

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- [ ] Test the latest release of the library.
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- [ ] Review your server configuration and logs.
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- [ ] If possible, test using another tool (e.g. [MQTTX](https://mqttx.app/) / [mosquitto_sub](https://mosquitto.org/man/mosquitto_sub-1.html))
to confirm the issue is specific to this client.
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# Bug Description

I have a client configured for a 4 second keep alive, and I'm publishing QoS 1 messages every 500ms. I still see PINGREQ going out in a packet sniffer. This means that keep alive is making unneeded ping requests. This doesn't track the behavior the documentation seems to suggest, nor does it seem to resemble the behavior of other clients such as the paho.mqtt.java client. Obviously this isn't a major behavior issue, but we noticed this behavioral difference while packet sniffing python and Java clients, and it seems python is the outlier in terms of behavior, especially since the documentation seems to suggest that keep alive should only ping in absence of other control messages.

# Reproduction

I'll just provide a test script:

```
import paho.mqtt.client as mqtt
import time

client = mqtt.Client()

def on_disconnected(_client, _userdata, _rc):
print("DISCONNECTED")

client.on_disconnect = on_disconnected

# enable logging, let it create it's own logger
client.enable_logger(logger=None)

print("connecting...")
client.connect("localhost", 1883, 5)
print("connected")
print("starting loop...")
client.loop_start()
print("loop started")
while True:
print("publishing message...")
client.publish("testtopic1", "hello world", qos=1)
time.sleep(0.5)
```

# Environment

* Python version: 3.10.9
* Library version: 1.6.1
* Operating system (including version): Ubuntu 22.04.03
* MQTT server (name, version, configuration, hosting details): Mosquito, but have validated against another server implementation as well

# Logs

Logs are largely irrelevant. I observed this in a debugger, ping is still happening even though publish QoS 1 is happening many times in the keep alive period.