Was the ancient Greek pharos light house of ancient Alexandria, Egypt capable of creating light beams like a modern flash light?
No.
Historical descriptions
No one really knows any detail of the construction of the lighthouse or whether it originally had any lamp or fire at all
For example, the Ancient History Encyclopedia notes
The exact design of the lighthouse, unfortunately, is not made clear by ancient writers, with descriptions often being vague, confusing, and conflicting. Most sources do agree that the tower was white (making it more visible) and that it had three floors.
...
A fire, likely burning oil as wood was scarce, was kept at the top of the tower to make it visible at night, but whether this was so from the outset is debated by historians, largely because the earliest references to the Pharos in the works of ancient writers make no mention at all of a light. Later sources do describe the Pharos as a lighthouse and not merely a landmark tower useful only during daylight.
According to 1st-century CE Roman writer Pliny the Elder:
The cost of its erection was eight hundred talents, they say; and, not to omit the magnanimity that was shown by King Ptolemæus on this occasion, he gave permission to the architect, Sostratus of Cnidos, to inscribe his name upon the edifice itself. The object of it is, by the light of its fires at night, to give warning to ships, of the neighbouring shoals, and to point out to them the entrance of the harbour. (Natural History, 36.18)
Since early descriptions did not mention any kind of fire used at night it is not even certain that the original design was intended to be useful to sailors at night.
Modern Flashlights
Since the question asks about something constructed 2300 years ago I will mostly interpret "modern" as meaning anytime in the last century or two.
A modern flashlight has a relatively small source of light and typically either uses a parabolic reflector or a lens to produce a nearly parallel beam. Modern era lighthouses use Fresnel lenses but flashlights don't.
To be useful in a lighthouse, any directional beam requires a rotating mechanism so that the landmark can be visible from any direction as a periodic recurring flash of light.
Any mirror used at the Alexandria tower is likely to have been polished metal. I don't know of any accounts of a rotating parabolic mirror or lens of the rather huge size that would be needed to focus the light of a oil-powered fire sufficiently large to produce an amount of light that could be seen many kilometers away.
Websites
Lets examine the websites listed in the question.
softschools
It was reported that there was a large mirror inside, possibly made of polished bronze. The purpose of the mirror was to project a beam of light from the reflection of the fire.
Does not cite source of this report - therfore unreliable.
Wabash
There, according to reports, a large curved mirror, perhaps made of polished metal, was used to project the fire's light into a beam. It was said ships could detect the light from the tower at night or the smoke from the fire during the day up to one-hundred miles away.
Does not cite source of this report - therfore unreliable.
unmuseum
according to reports, a large curved mirror, perhaps made of polished bronze, was used to project the fire's light into a beam. It was said ships could detect the light from the tower at night or the smoke from the fire during the day up to one-hundred miles away.
Same wording but again no source cited - unreliable.
kidsgen
The mirror that was mounted at the top of the lighthouse could reflect light more than 35 miles off-shore. The scientists were fascinated by this mysterious mirror.
the beacon chamber, containing a curved mirror used to project a fire's light into a beam. Ships could detect the beam from the tower at night or the smoke from it could be seen during the day from up to 100 miles away.
Same wording but again no source cited - unreliable.
globalmarvels
By day mirrors reflected sunlight from top of the tower. by night however the light house became a true wounder to be behold. A flame was light producing a beam of light of extraordinary power.
At the peak of the lighthouse was a large curved mirror,perhaps made of polished bronze, that reflected the light of the sun at day, and project the fire’s light into a beam at night.
Historians also suggest the mirrors were also used as a weapon to set enemy ships ablaze by reflecting the light of the sun into a strong beam.
Again no sources cited. Similar wording to all the others suggesting a common source
jslandor
The source of its light is much debated. Historians suggest a large curved mirror made of polished metal was positioned at its apex reflecting the sun by day while giant fires burned at night. The beam was so powerful it could be seen up to 30 miles away. Some claimed it could even be focussed on an enemy ship to set it ablaze
This web page does not cite sources or name the historians. It does mention the fictional book aimed at children: The Mirror of Pharos by J.S.Landor. which is the subject of the website as a whole.
I think this also must be counted as unreliable since there are no named sources we can check.
Maybe most or all of these websites are copying each other.
Since none of them cite sources, other than unnamed "historians" we must consider these descriptions as extremely unreliable.