Why does my bike run fine hot but take forever to accept gas/stay cranked cold?

no car told maker or model or engine size.
there are lots causes that, hard starts
if spark good and strong and even HV spark wire sets fresh.
the short list.

1. bad fuel
2. too much fuel cranked and floods
3. IAC bad, idle air valve stuck and wants to flood cold.
4. cold idle is the big clue, where too low. IAC failing
5. EGR sticking open at idle. possible.
6. if you press gas Pedal, at 5% (about) and starts easy and likes that until it worms up that means the IAC is dead.
7. I stop here lots more, no car told.

all cars modern EFI is it EFI> have IAC and ISC valves 1 or both.
and if stuck idle fails. hot or cold.
no car told why post like that 100 year of cars and 10,000 engines.
????

no year told, nor when it last run perfect not told
same answer for 100 years on any otto cycle gas engine made car or motorcycle or scooter.
same., and drives fast too, full power work but idle fails.

well , idle is too rich, as are all carbs this old and never serviced.
when it stalls i bet spark tip is wet with fuel or carbon fouled.

or bad fuel. or caused by bad fuel endless for 100years
ive cleaned like 1000s of carbs in 50+ years. endless. me.
it's only a 150cc engine, and tiny carb. my CB750s old and new.
both had 4 carbs and are tricky and must be synchronized
but your's is a pussyycatt. 1 carb small
causes all.
the float needle is bad causing too high float level.
the jets are bad or wrong or dirty. there may be 2 jets one is idle and bad. but most time not 2, just 1 jet and 1 needle.
the needle can be bad , most are this old and bottom of needle is idle section OF NEEDLE and all worn out and now super rich at idLE SPEED
the air paths inside the body of carb must not be clogged
all tiny air paths. checked and cleaned fully.
that is all I can think off off hand.
my guess is bike is super old.
is bike real honda or this trashy china clones of 80 honda.
no year told nor photo of it so we can ahhhh that BIKE,
THE TANK VIEW IS OMG EASY TO ID.

NOT TOLD , FAILS IDLE HOT AND COLD ENGINE BOTH.
Using throttle grip hold RPM up a tad to get it hot first and see if idle reall fails hot.
first 150cc bike owned ever,?yes
the learn this.
we start with mild choke cold and back it off bit by bit until warm.
the chock has a fast idle features that must not be broken.
back it off slowly for 5 mins. then idle works
some have idle mixture screw on the side or is fast cold idle screw.
the cables are not for idle. ever and are set loose side
a stop screw idle and maybe mixtures idle. tool
depends on year not told if honda mikuni made.

Clean the Throttle Body and MAF with Cleaner. That causes rough idle.

Also drop a bottle of Fuel System Restorer into half a tank of gas.

More ideas here, but start with the above.

https://www.google.com/search?q=2005+chrysler+town+and+country+rough+idle

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Check the ECM grounds, they are under the passenger side kick panel. When the engine goes to warm status, the Oxygen sensors come on, If there is no ground on the ECM then it starts pulling ground voltage across the sensors and that causes big issues.

pickup coil of crank senser is ther a eng light on

bad cdi

check your carburater.

sound like your have the bad distributor, when you have trouble starting remove the distributor and have the auto part check it.

The thermostatic fuse is getting hot during the run cycle and then staying open until the dryer cools down completely.

You may fix just by cleaning out the entire dryer. Remove the top cover and vacuum out thoroughly. Replace a torn lint screen and make sure your exhaust conduit is not leaking lint everywhere.

If you can't fix by cleaning, you will have to replace the thermostat which is a $5 part byt a $100 repair.

Next time this happens, take out 1 spark plug and inject a little gas, replace the plug. (You can do both f you want but 1 is enough) If the bike fires up it is prob not getting gas for some reason…